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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The theorems of Carathéodory and Gluskin for $0<p<1$
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by Jesús Bastero, Julio Bernués and Ana Peña PDF
Proc. Amer. Math. Soc. 123 (1995), 141-144 Request permission


In this note we prove the p-convex analogue of both Caratheodory’s convexity theorem and Gluskin’s theorem concerning the diameter of Minkowski compactum.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 141-144
  • MSC: Primary 46A55; Secondary 46B20, 52A21
  • DOI:
  • MathSciNet review: 1242074